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Finding the Fourth Proportional to 1,898.58, 2,621.34 and 1,228.01

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Solution

The fourth proportional to 1,898.58, 2,621.34 and 1,228.01 is: 1,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.58 : 2,621.34 = 1,228.01 : x
  2. Step 2: Convert to fraction form
    1,898.58/2,621.34 = 1,228.01/x
  3. Step 3: Cross multiply
    1,898.58x = 2,621.34 × 1,228.01
  4. Step 4: Simplify right side
    1,898.58x = 3,219,029.92
  5. Step 5: Solve for x
    x = 3,219,029.92/1,898.58
  6. Step 6: Final answer
    x = 1,695.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.